3. What values of the angular momentum (l) and magnetic (ml) quantum numbers are allowed for...

3. What values of the angular momentum (l) and magnetic (ml) quantum numbers are allowed for a principal quantum number (n) of 4? How many orbitals are allowed?

Expert Solution

When n = 4 , l = 0 ≤ ℓ ≤ n − 1 that is 0,1,2,3

ml values = −ℓ ≤ m_ℓ ≤ ℓ

orbitals allowed

so if l = 0 , m =0, 1(s orbital)

When l =1, ml = -1,0,+1 3 (px,py,pz orbitals)

when l = 2 , ml = -2,-1,0,+1,+2 5 (dxy,dyz,dzx,dx2,dx2-y2)

when l = 3 , ml = -3,-2,-1,0,1,2,3 7 (f orbitals0

queen_honey_blossom answered 1 year ago

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